(organized by Frank Bauer, Arjan Kuijper and Leila Muresan)
The field of image analysis in biology and medicine has been evolving rapidly in the recent years due to new methods and improved computational possibilities on one hand and new or improved imaging techniques and devices on the other hand. This workshop brings together industrial, clinical and academic researchers in order to discuss:
- New imaging techniques and the mathematical problems they raise
- New mathematical tools for coping with image quality issues
- New computational approaches in order to reduce significantly computation times
(organized by Frank Bauer, Nicolai Bissantz, Thorsten Hohage and Axel Munk )
Inverse Problems is an area of growing interest both for statisticians andnumerical analysts since such problems arise naturally in many applications e.g. inin
medical imaging, economy, finance, physics, chemistry, biology and industrial research.So far a large part of the research on inverse problems in statisticsand
numerics has followed different paths. Whereas a lot of progress has beenachieved on nonlinear deterministic inverse problems over thelast decade, the
literature on nonlinear statistical inverse problemsis scarce. In contrast, a variety of sophisticated adaptive techniques forparameter and model selection
have been developed in statistics,which do not have a counterpart in deterministic theory.Many questions of fundamental theoretical and practical
importancearise in both fields: identifiability,consistency, computation of estimators, and optimality in various forms.Therefore, this workshop intends to
establish and strengthen links between research in the statistical and the deterministic inverse problemscommunities.
The workshop covered the following topics:
The workshop covered the following topics:
- Methods and Techniques:
- Algorithmic Aspects of Inverse Problems
- Bayesian Approaches
- Minimax Theory
- Convergence Analysis
- Iterative Methods for Non-Linear Inverse Problems
-
Fields of Application:
- Econometrics
- Image Reconstruction
- Deconvolution
- Medical Applications
- Technical/Physical/Industrial Applications
Teaching
| Winter | 2009/10 |  |
Anwendungen der Mathematik für Lehramt (zusammen mit Peter Elbau), Johannes Kepler University Linz |
| Winter | 2009/10 | |
Übung Mathematik für Mechatronik 1 (3 Übungsgruppen), Johannes Kepler University Linz |
| Summer | 2009 | |
Biomedical Imaging (Biomedizinische Bildgebung), Johannes Kepler University Linz |
| Winter | 2008/09 | |
Anwendungen der Mathematik für Lehramt (zusammen mit Peter Elbau), Johannes Kepler University Linz |
| Winter | 2007/08 | |
Anwendungen der Mathematik für Lehramt (zusammen mit Peter Elbau), Johannes Kepler University Linz |
| Summer | 2007 | |
Aspects of Image Processing - A Bayesian Approach to the Occuring Inverse Problems, Johannes Kepler University Linz |
| Winter | 2003/04 | |
Übung Einführung in die Funktionalanalysis, University of Kaiserslautern |
| Summer | 2003 | Übung Analysis II, University of Kaiserslautern | |
| Winter | 2002/03 | Übung Analysis I, University of Kaiserslautern | |
| Summer | 2002 | Übung Praktische Mathematik, Numerische Methoden der Analysis, University of Kaiserslautern | |
| Winter | 2001/02 | Übung Geomathematik, University of Kaiserslautern | |
| Winter | 2001 | Example class for first year mathematics students, University of Warwick | |
| Autumn | 2000 | Example class for first year mathematics students, University of Warwick | |
| Summer | 2000 | Übung Praktische Mathematik, Numerische Methoden der Analysis, University of Kaiserslautern |